Question

Assume a significance level of alpha equals 0.05α=0.05 and use the given information to complete parts​ (a) and​ (b) below. Original​ claim: MoreMore than 5454​% of adults would erase all of their personal information online if they could. The hypothesis test results in a​ P-value of 0.04040.0404. a. State a conclusion about the null hypothesis.​ (Reject Upper H 0H0 or fail to reject Upper H 0H0​.) Choose the correct answer below. A. Fail to rejectFail to reject Upper H 0H0 because the​ P-value is greater thangreater than alphaα. B. Fail to rejectFail to reject Upper H 0H0 because the​ P-value is less than or equal toless than or equal to alphaα. C. RejectReject Upper H 0H0 because the​ P-value is less than or equal toless than or equal to alphaα. D. RejectReject Upper H 0H0 because the​ P-value is greater thangreater than alphaα. b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion? A. There isis sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is moremore than 5454​%. B. The percentage of adults that would erase all of their personal information online if they could is lessless than or equal to 5454​%. C. There is notis not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is moremore than 5454​%. D. The percentage of adults that would erase all of their personal information online if they could is moremore than 5454​%. Click to select your answer.

Answer 1

given that the p value is 0.04, which is less than the significance level of 0.05

this means that the result is significant and we can reject the null hypothesis

so, we can say that less than 54% of all users erase their data.

(A) option C is correct answer because p value is less than alpha level of 0.05

(B) we know that the claim was that More than 54​% of adults would erase all of their personal information online if they could, but we failed to support this data.

So, we can say that less than 54% of adults would erase all of their personal information online if they could,

therefore, option C